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Related papers: Inner-extremal regular black holes from pure gravi…

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It has been recently shown that regular black holes arise as the unique spherically symmetric solutions of broad families of generalizations of Einstein gravity involving infinite towers of higher-curvature corrections in $D\geq 5$…

General Relativity and Quantum Cosmology · Physics 2025-05-16 Pablo Bueno , Pablo A. Cano , Robie A. Hennigar , Ángel J. Murcia , Aitor Vicente-Cano

We construct a static spherically symmetric regular black hole with a Minkowski core, and a degenerate inner horizon with vanishing surface gravity. The spacetime contains a non-extremal outer horizon and exhibits two notable features.…

General Relativity and Quantum Cosmology · Physics 2026-05-18 Zhong-Wen Feng , Hong-Lin Liu , Yi Ling , Qing-Quan Jiang

The conditions are clarified under which regular (i.e., singularity-free) black holes can exist. It is shown that in a large class of spacetimes that satisfy the weak energy condition the existence of a regular black hole requires topology…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Arvind Borde

The static vacuum spherically symmetric solutions in massive gravity are obtained both analytically and numerically. The solutions depend on two parameters (integration constants): the mass M (or, equivalently, the Schwarzschild radius),…

General Relativity and Quantum Cosmology · Physics 2011-06-10 Michael V. Bebronne , Peter G. Tinyakov

We construct four-dimensional gravity theories that resolve the Schwarzschild singularity and enable dynamical studies of nonsingular gravitational collapse. The construction employs a class of nonpolynomial curvature invariants that…

General Relativity and Quantum Cosmology · Physics 2025-10-22 Pablo Bueno , Pablo A. Cano , Robie A. Hennigar , Ángel J. Murcia

Recently it was demonstrated that by adding to the Einstein-Hilbert action a series in powers of the curvature invariants with specially chosen coefficients one can obtain a theory of gravity which has spherically symmetric solutions…

General Relativity and Quantum Cosmology · Physics 2025-05-27 Valeri P. Frolov , Alex Koek , Jose Pinedo Soto , Andrei Zelnikov

We derive a class of inner-extremal regular black hole solutions characterized by a degenerate inner horizon. These geometries arise as polymerized vacuum configurations inspired by loop quantum gravity and constitute effective…

General Relativity and Quantum Cosmology · Physics 2026-05-01 Hongguang Liu , Ioannis Soranidis

Non-singular black hole geometries typically come with two spacetime horizons: an (outer) event horizon and an (inner) Cauchy horizon. This nurtures the speculation that they may be subject to a mass-inflation effect which renders the…

General Relativity and Quantum Cosmology · Physics 2022-11-18 Alfio Bonanno , Amir-Pouyan Khosravi , Frank Saueressig

It is argued that in certain 2d dilaton gravity theories there exist self-consistent solutions of field equations with quantum terms which describe extreme black holes at nonzero temperature. The curvature remains finite on the horizon due…

High Energy Physics - Theory · Physics 2009-10-31 O. B. Zaslavskii

We study the null junction conditions in (re-summed) quasi-topological gravity theories, showing that no null thin shells exist within the realms of standard distributional theory for the pure gravity regular black hole solutions we have…

General Relativity and Quantum Cosmology · Physics 2026-05-01 Francesco Di Filippo , David Kubiznak , Aravindhan Srinivasan

From a purely geometric (kinematic) perspective, black holes in four dimensional spacetimes can have event horizons with arbitrary topologies. It is only when energy conditions are imposed that the horizon's topology is constrained to be…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Carlos Barceló , Gerardo García-Moreno , Alejandro Jiménez Cano

In the context of f(R) modified gravity theories, we study the Kerr-Newman black-hole solutions. We study non-zero constant scalar curvature solutions and discuss the metric tensor that satisfies the modified field equations. We determine…

General Relativity and Quantum Cosmology · Physics 2011-10-04 J. A. R. Cembranos , A. de la Cruz-Dombriz , P. Jimeno Romero

Astrophysical black hole candidates, although long thought to have a horizon, could be horizonless ultra-compact objects. This intriguing possibility is motivated by the black hole information paradox and a plausible fundamental connection…

General Relativity and Quantum Cosmology · Physics 2017-04-26 Bob Holdom , Jing Ren

We construct regular black holes with anti-de Sitter asymptotics in theories incorporating infinite towers of higher-order curvature corrections in any dimension $D \ge 5$. We find that regular black branes are generically inner-extremal,…

General Relativity and Quantum Cosmology · Physics 2025-11-25 Robie A. Hennigar , David Kubizňák , Sebastian Murk , Ioannis Soranidis

As argued in arXiv:2104.10172, introducing a non-minimally coupled scalar field, three-dimensional Einstein gravity can be extended by infinite families of theories which admit simple analytic generalizations of the charged BTZ black hole.…

General Relativity and Quantum Cosmology · Physics 2025-08-26 Pablo Bueno , Oscar Lasso Andino , Javier Moreno , Guido van der Velde

Associated to every stationary extremal black hole is a unique near-horizon geometry, itself a solution of the field equations. These latter spacetimes are more tractable to analyze and most importantly, retain properties of the original…

High Energy Physics - Theory · Physics 2015-05-28 Hari K. Kunduri

We derive static spherically symmetric regular black holes as vacuum solutions to purely gravitational theories in four dimensions. To that end, we construct four-dimensional non-polynomial gravities starting from subclasses of…

General Relativity and Quantum Cosmology · Physics 2026-02-20 Johanna Borissova , Raúl Carballo-Rubio

A class of exact solutions are presented for the interior of black holes of solar mass and beyond. In a core enclosed by the inner horizon, the binding energy released by dissolution of the pre-collapse nuclei is stored in electrostatic and…

General Relativity and Quantum Cosmology · Physics 2023-03-01 Theodorus Maria Nieuwenhuizen

The essential singularity in Einstein's gravity can be avoidable if the preconditions of Penrose's theorem can be bypassed, i.e., if the strong energy condition is broken in the vicinity of a black hole center. The singularity mentioned…

General Relativity and Quantum Cosmology · Physics 2023-09-07 Chen Lan , Hao Yang , Yang Guo , Yan-Gang Miao

We obtain a class of regular black hole solutions in four-dimensional $f(R)$ gravity, $R$ being the curvature scalar, coupled to a nonlinear electromagnetic source. The metric formalism is used and static spherically symmetric spacetimes…

General Relativity and Quantum Cosmology · Physics 2016-08-02 Manuel E. Rodrigues , Ednaldo L. B. Junior , Glauber T. Marques , Vilson T. Zanchin